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Finding the Fourth Proportional to 13,755.12, 18,981.92 and 7,786.16

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Solution

The fourth proportional to 13,755.12, 18,981.92 and 7,786.16 is: 10,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.12 : 18,981.92 = 7,786.16 : x
  2. Step 2: Convert to fraction form
    13,755.12/18,981.92 = 7,786.16/x
  3. Step 3: Cross multiply
    13,755.12x = 18,981.92 × 7,786.16
  4. Step 4: Simplify right side
    13,755.12x = 147,796,266.23
  5. Step 5: Solve for x
    x = 147,796,266.23/13,755.12
  6. Step 6: Final answer
    x = 10,744.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.